Cationic Polymers Containing 2-Hydrocyethyl-Methacrylic As Promoters For Asa Sizing

ABSTRACT

The invention relates to polymers useful as a papermaking additives, The invention also relates to methods for making and using such additives.

BACKGROUND

The present invention relates to polymers that are useful in paper additives.

“Sizing,” as applied to paper, refers to a fibrous substrate's ability to resist wetting or penetration of a liquid into a paper sheet. Aqueous dispersions of alkenylsuccinic anhydride (ASA) cellulose-reactive sizing agent have been widely used in the paper and board making industry for many years, for sizing a wide variety of grades which include printing and writing grades and bleached and unbleached board grades. Cellulose-reactive alkenylsuccinic anhydride emulsions impart hydrophobic properties to the paper and board products.

Chemicals used to achieve sizing properties are known as either internal sizes or surface sizes. Internal sizes can be either rosin-based or synthetic sizes such as alkenylsuccinic anhydride, or other materials. Internal sizes are added to the paper pulp prior to sheet formation. Surface sizes are sizing agents that are added after the paper sheet has formed, most generally at the size press, although spraying applications may also be used.

A synthetic sizing agent such as alkenylsuccinic anhydride sizing agent is ordinarily applied by dispersing it in a cationic or amphoteric hydrophilic substance such as a starch or a polymer. The starch or polymer-dispersed alkenylsuccinic anhydride sizing emulsions have been added to the pulp slurry before the formation of a paper web. This type of addition of alkenylsuccinic anhydride sizing emulsions to the paper making system is commonly called wet-end addition or internal addition of alkenylsuccinic anhydride.

Papermakers would benefit from a cationic or amphoteric polymer that is different from known polymers and, preferably, that also enhances the sizing efficiency of paper products. Unfortunately, known methods and

compositions have prevented papermakers from achieving this goal. Known compositions and methods require an unduly large amount of materials to size paper products. Papermakers are under pressure to improve sizing efficiency and, as such, there is an ongoing need to develop products and methods that improve sizing efficiency.

For the foregoing reasons, there is a need to develop a paper additive that improves the sizing efficiency of paper products.

SUMMARY

The invention relates to a cationic polymer useful as a papermaking additive, which is obtained by copolymerizing:

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH2)_(n)N⁺R₂R₂R₃X⁻  (I)

or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia)

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R₄ is a hydrogen atom or a methyl group; and

(3) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH   (III)

or

CH₂═CR₆COO(CH₂)_(m)CH(OH)CH₂OH (IIIa)

wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1-4, inclusive and m is 1 or 2.

In another embodiment, the invention relates to an amphoteric polymer useful as a papermaking additive, which is obtained by copolymerizing

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH2)_(n)N⁺R₂R₂R₃X⁻  (I)

or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia)

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R₄ is a hydrogen atom or a methyl group, and

(3) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH   (III)

or

CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (III a)

wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1 or 4 and m is 1 or 2 ; and

(4) an anionic vinyl monomer of the formula:

CH₂═CR₇COOR₈   (IV)

wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, ammonium group.

In another embodiment, the invention relates to a method for making the cationic polymer or a method for making the amphoteric polymer.

In another embodiment, the invention relates to a method comprising (a) providing paper stock; (b) adding to the paper stock a composition comprising:(i) synthetic sizing agent, and (ii) the above described cationic polymer or amphoteric polymer, and (c) forming a web from said paper stock, such that the web exhibits an improved sizing efficiency as compared to a web made without the cationic polymer.

These and other features, aspects, and advantages of the present invention will become better understood with reference to the following description and appended claims.

DESCRIPTION

The invention is based on the remarkable discovery that by using a certain cationic polymer or amphoteric polymer, it is now possible to enhance the sizing efficiency of a paper product.

Other than in the operating examples or where otherwise indicated, all numbers or expressions referring to quantities of ingredients, reaction conditions, etc., used in the specification and claims are to be understood as modified in all instances by the term “about.” Various numerical ranges are disclosed in this patent application. Because these ranges are continuous, they include every value between the minimum and maximum values. Unless expressly indicated otherwise, the various numerical ranges specified in this application are approximations.

The term “paper”, as used herein, is meant to include fibrous substrates that include not only paper as the term is commonly used but all types of cellulose-based products in sheet and web form, including, for example, board and paperboard. The sizing compositions may be added to any stock containing cellulosic fibres, optionally in combination with mineral fillers, and usually the content of cellulosic fibres is at least 50% by weight, based on dry stock. Examples of mineral fillers of conventional types include kaolin, china clay, titanium dioxide, gypsum, talc and natural and synthetic calcium carbonates such as chalk, ground marble and precipitated calcium carbonate.

A cationic polymer of the invention is obtained by copolymerizing

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I)

or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia)

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R₄ is a hydrogen atom or a methyl group; and

(3) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH   (III)

or

CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa)

wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1-4, inclusive and m is 1 or 2.

The synthetic sizing agent may be any sizing agent that can imparts desired sizing properties. Preferred sizing agents include alkenyl succinic anhydride (ASA) and alkyl ketene dimer (AKD), and alkeno ketene dimer, alkyl isocyanates, and alkyl anhydrides.

The vinyl monomer (I) may be a quaternary ammonium group-containing vinyl monomer produced by quaternizing a dialkylaminoalkyl ester of acrylic acid or methacrylic acid with an alkyl halide or alkyl sulfate. Specific examples of the vinyl monomer (I) include quaternized products resulting from dimethylaminoethyl acrylate, diethylaminoethyl acrylate, dimethylaminoethyl methacrylate, diethylaminoethyl methacrylate, etc. As the quaternizing agent, there may be exemplified methyl chloride, methyl bromide, methyl iodide, ethyl bromide, etc.

The vinyl monomer (Ia) may include diallyidimethylammonium chloride.

The vinyl monomer (II) includes acrylamide and methacrylamide. These monomers are effective in increasing the molecular weight of the resulting polymer due to its high polymerizability. They are also effective in improving the water solubility of the produced polymer.

The vinyl monomer (III) may include hydroxymethyl (meth)acrylate, 2-hydroxyethyl (meth)acrylate, hydroxyprolyl (meth)acrylate and hydroxybutyl (meth)acrylate.

The vinyl monomer (IIIa) may include 2,3-dihydroxypropyl (meth)acrylate and 3,4-dihydroxybutyl (meth)acrylate.

The cationic charge of the cationic polymer ranges from at least 1 to 99 mole %.

In one embodiment, the cationic polymer has a 2-hydroxyethyl methacrylate ranging from 1 to 30 mole percent. In another embodiment, the cationic polymer has a 2-hydroxyethyl methacrylate ranging from 2 to 20 mole percent. In another embodiment, the cationic polymer has a 2-hydroxyethyl methacrylate ranging from 5 to 10 mole percent.

Although not required, the cationic polymer can be crosslinked or branched.

The amphoteric polymer of the invention is generally obtained by copolymerizing:

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH2)_(n)N⁺R₂R₂R₃X⁻  (I)

or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R₄ is a hydrogen atom or a methyl group, and

(3) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH   (III)

or

CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH (IIIa)

wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1 or4 and m is 1 or2; and

(4) an anionic vinyl monomer of the formula:

CH₂═CR₇COOR8   (IV)

wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, ammonium group.

The anionic vinyl monomer (IV) may include acrylic acid or methacrylic acid.

The amphoteric polymer preferably has an anionic charge ranging from 0 to 40 mole percent.

The molecular weight of the cationic polymer or amphoteric polymer varies, depending on the needs at hand. In one embodiment, the cationic polymer or amphoteric polymer has a molecular weight ranging from 10,000 to 3,000,000 daltons average molecular weight. In another embodiment, the cationic polymer or amphoteric polymer has a molecular weight ranging from 100,000 to 2,000,000 daltons average molecular weight. In another embodiment, the cationic polymer or amphoteric polymer has a molecular weight ranging from 100,000 to 1,000,000 daltons average molecular weight. Molecular weights stated herein are weight average.

The proportion of the vinyl monomers to be copolymerized may be varied depending on the desired properties of the resulting polymer, the kinds of monomers used, the polymerization mode to be adopted, etc. But, the molar proportion of the vinyl monomers (I), (II), (III) and (IV) is usually about 1 to 99:1 to 99:1 to 30:0 to 40, or about 1 to 10:1 to 85:2 to 10:0 to 5

The copolymerization of the vinyl monomers may be carried out in an aqueous medium in the presence of a catalyst by a per se conventional procedure such as solution polymerization, emulsion polymerization or precipitation polymerization.

In case of solution polymerization, there may be employed as the reaction medium water, a lower alcohol or their mixture, among which the use of water is particularly preferred. The total concentration of the vinyl monomers in the aqueous medium may be from about 5 to 80% by weight. Depending on the total concentration or composition of the vinyl monomers, the polymer is produced in a form ranging from a fluidizable liquid to a non-fluidizable solid. When the product is a liquid, it may be used as such. When the product is a solid, it may be crushed, if necessary, followed by drying to give a powdery material.

In use, the invention provides valuable methods. In one embodiment, the invention relates to a method that includes the steps of (a) providing paper stock; (b) adding to the paper stock a composition comprising:(i) synthetic sizing agent, and (ii) a cationic polymer useful as a paper additive obtained by copolymerizing:

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH2)_(n)N⁺R₂R₂R₃X⁻  (I)

or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R4 is a hydrogen atom or a methyl group, and

(₃) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH   (III)

or

CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH

wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1-4, inclusive and m is 1 or 2.(iii) water or starch solution, and

(c) forming a web from said paper stock, such that the web exhibits an improved sizing efficiency as compared to a web made without the cationic polymer.

When the amphoteric polymer of the invention is used, the invention provides a method that includes the steps of (a) providing paper stock; (b) adding to the paper stock a composition comprising: (i) a synthetic sizing agent, and (ii) the amphoteric polymer useful as a paper additive, which is obtained by copolymerizing

(1) a vinyl monomer of the formula:

CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I)

Or

(CH₂═CHCH₂)₂N⁺(R₂)₂X⁻

wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X is a methyl sulfate ion; and

(2) a vinyl monomer of the formula:

CH₂═CR₄—CONH₂   (II)

wherein R₄ is a hydrogen atom or a methyl group, and

(3) a vinyl monomer of the formula:

CH₂═CR₅COO(CH₂)_(n)OH (III)

or

CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa)

wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1 or 4 and m is 1 or 2.

(4) an anionic vinyl monomer of the formula:

CH₂═CR₇COOR₈   (IV)

wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, ammonium group;

(iii) water or starch solution, and

(c) forming a web from said paper stock, such that the web exhibits an improved sizing efficiency as compared to a web made without the amphoteric polymer.

When a polymer of the invention is added to the surface of paper., the invention provides a method that involves the steps of (a) providing paper stock; (b) forming a web from said paper stock, (c) adding to the web a composition cationic polymer or the amphoteric polymer. Such a polymer is added to the surface of a fibrous subtrate by any suitable means, e.g., by size press application, spraying and/or water box application.

In the embodiment in which the surface of paper is treated, anionic or non-ionic polymers may also be used. In this embodiment, non-ionic polymers are obtained by copolymerizing vinyl monomers of formulae (II) and (III) and/or (IIIa). Anionic polymers can obtained by copolymerizing monomers of formula (II), and (III), and/or (IIIa), and (IV).

The synthetic sizing agent can be applied in various amounts. For instance, the synthetic sizing agent is generally applied at a dosage ranging from 0.1 kg/metric ton to 10 kg/metric ton, or 0.5 to 5, or from 1 to 4. In one embodiment, the synthetic sizing agent:polymer is added to the paper stock at weight ratios that enable the resulting web to exhibit an improved sizing efficiency as compared to a web made without the cationic polymer. In one embodiment, the the synthetic sizing agent :polymer is added at a weight ratio ranging from 1:0.05 to 1:1. In another embodiment, the synthetic sizing agent :polymer is added at a weight ratio ranging from 1:0.1 to 1:0.5. In another embodiment, the synthetic sizing agent:polymer is added at a weight ratio ranging from 1:0.1 to 1:0.2.

The synthetic sizing agent can also be added in various forms. In one embodiment, the synthetic sizing agent is emulsified with a polymer. In another embodiment, the sizing agent is emulsified with water and surfactants. In another embodiment, the sizing agent is emulsified in starch.

In one embodiment, for instance, the synthetic sizing agent is added as a sizing emulsion containing a surfactant and the emulsion is prepared under low shear conditions, e.g. those shearing conditions are created by a device selected from the group of centrifugal pumps, static in-line mixers, peristaltic pumps, magnetic stirring bar in a beaker, overhead stirrer, and combinations thereof. In another embodiment, the synthetic sizing agent is added as a sizing emulsion containing surfactant and the emulsion is prepared under high shear conditions.

Examples of suitable surfactants include but are not limited to alkyl and aryl primary, secondary and tertiary amines and their corresponding quaternary salts, sulfosuccinates, fatty acids, ethoxylated fatty acids, fatty alcohols, ethoxylated fatty alcohols, fatty esters, ethoxylated fatty esters, ethoxylated triglycerides, sulfonated amides, sulfonated amines, ethoxylated polymers, propoxylated polymers or ethoxylated/ propoxylated copolymers, polyethylene glycols, phosphate esters, phosphonated fatty acid ethoxylates, phosphonated fatty alcohol ethoxylates, and alkyl and aryl sulfonates and sulfates. Examples of preferred suitable surfactants include but are not limited to amides; ethoxylated polymers, propoxylated polymers or ethoxylated/propoxylated copolymers; fatty alcohols, ethoxylated fatty alcohols, fatty esters, carboxylated alcohol or alkylphenol ethoxylates; carboxylic acids; fatty acids; diphenyl sulfonate derivatives; ethoxylated alcohols; ethoxylated fatty alcohols; ethoxylated alkylphenols; ethoxylated amines; ethoxylated amides; ethoxylated aryl phenols; ethoxylated fatty acids; ethoxylated triglycerides; ethoxylated fatty esters; ethoxylated glycol esters; polyethylene glycols; fatty acid esters; glycerol esters; glycol esters; certain lanolin-based derivatives; monoglycerides, diglycerides and derivatives; olefin sulfonates; phosphate esters; phosphorus organic derivatives; phosphonated fatty acid ethoxylates, phosphonated fatty alcohol ethoxylates; polyethylene glycols; polymeric polysaccharides; propoxylated and ethoxylated fatty acids; alkyl and aryl sulfates and sulfonates; ethoxylated alkylphenols; sulfosuccinamates; sulfosuccinates.

In one embodiment, the surfactant component includes an amine selected from the group consisting of trialkyl amine of the formula (I):

dimethyl sulfate quaternary salt of trialkyl amine of the formula (I), benzyl chloride quaternary salt of trialkyl amine of the formula (I), and diethyl sulfate quaternary salt of trialkyl amine of the formula (I), in which R₁ is methyl or ethyl, R₂ is methyl or ethyl, and R₃ is alkyl having 14 to 24 carbon atoms. In another embodiment, the surfactant excludes this amine. The surfactant levels can range from about 0.1 weight % up to about 20 weight % based on the alkenylsuccinic anhydride component.

The order in which the synthetic sizing agent is added can vary. In one embodiment, the synthetic sizing agent is added in conjunction with the cationic polymer.

The sizing efficiency improvement provided by the method can be determined by various methods. For instance, the sizing efficiency: resistance of water to paper increase measurements can be determined by the ink penetration test or the Cobb test.

The sizing efficiency improvement can range from 10 to 200 percent more, as compared to when the paper is prepared without the polymer.

The paper made with a method of the invention has favorable qualities. In one embodiment, the paper has a ink penetration ranging from 50 to 1500 seconds. In another embodiment, the paper has a cobb value ranging from 15 to 200 grams/m²

The invention is further described in the following illustrative examples in which all parts and percentages are by weight unless otherwise indicated.

EXAMPLES Example 1 (Comparative)

A low molecular weight 90/10 mole % acrylamide/[2-(methyl-acryloyloxy ) ethyl]trimethylammonium chloride copolymer (AMD/Q6) was prepared by a free radical co-polymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 45.62 parts of 52.96% acrylamide solution, 10.45 parts of 75% Q6 solution, 2.4 parts of 2% sodium hypophosphite solution, and 53.93 parts of deionized water. The pH of the monomer solution was adjusted from 4.14 to 3.78 with a 20% solution of malic acid. The monomer solution was sparged with nitrogen for an hour before addition. The reactor vessel solution was prepared by addition of 278.46 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.63 to 3.76 with 0.57 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour.

The initiator solution was prepared by addition of 0.38 parts of ammonium persulfate into 7.87 parts of deionized water. This solution was sparged with nitrogen for half an hour just prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel 5 was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction.

The pH of the final product was equal to 3.1, bulk viscosity was equal to 90 cP (measured using Brookfield viscometer model DV-III, # 3 spindle, 12 rpm, at 25° C.) and viscosity of a 2% polymer solution was equal to 12 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.). Molecular weight of this polymer (Mw) is equal to 227,000 daltons.

Example 2

A low molecular weight 90/10/5 mole % acrylamide/[2-(methylacryloyloxy)ethyl]trimethylammonium chloride/2-hydroxyethy methacrylate (AMD/Q6/HEMA) terpolymer was prepared by a free radical co-polymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 41.64 parts of 52.96% acrylamide solution, 10.11 parts of 75% Q6 solution, 2.44 parts of 97% HEMA solution, 2.4 parts of 2% sodium hypophosphite solution, and 55.86 parts of deionized water. The pH of this solution was equal to 3.82. The monomer solution was sparged with nitrogen for an hour before addition. The reactor vessel solution was prepared by mixing 278.27 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.47 to 3.63 with 0.76 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour just prior to use. The initiator solution was prepared by addition of 0.38 parts of ammonium persulfate into 7.87 parts of deionized water. This solution was sparged with nitrogen for half an hour prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction.

The pH of final product was equal to 3.1, bulk viscosity was equal to 70 cP (measured using Brookfield viscometer model DV-III, # 3 spindle, 12 rpm, at 25° C.) and viscosity of a 2% polymer solution was equal to 11 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.). Molecular weight of this polymer (Mw) is equal to 257,000 daltons.

Example 3

Evaluation of polymers from Example 1 and 2 was done by preparation of ASA emulsions with these polymers, characterization of the emulsion particle size distribution (Table 1), addition of these emulsions to the paper slurry, forming paper handsheets and measuring handsheets sizing (Table 2).

Emulsification of ASA Using Polymers

Alkenyl succinic anhydride (ASA) emulsions were prepared with polymers from example 1 and 2 at a 1/0.1 ASA/polymer ratio. Concentration of ASA during the emulsification was equal to 3.85 wt. %. ASA emulsions were prepared by following procedure:

-   -   Solution of each polymer was prepared at 0.4-wt. % concentration         on real basis using DI water.     -   96.15 g of a polymer solution was placed in a small stainless         steel blender jar, and the blender was started at a low speed.     -   While mixing, 3.85 g of ASA was added to a polymer solution by         the means of plastic syringe. The speed of blender was         immediately changed from low to high and the timer was started.     -   The emulsification was carried out for 3 min at a high speed.     -   The emulsion particle size was measured using Particle Size         Analyzer Horiba LA 700.     -   A solution of 0.25 wt. % ASA concentration was prepared using         deionized water adjusted with dilute hydrochloric acid to pH 3.     -   The emulsion was placed in ice water and immediately used for         handsheet preparation.

Handsheet Preparation Process

Handsheets were prepared using a furnish of a 50/50 mixture of bleached hardwood and softwood kraft pulp refined to a Canadian Standard Freeness of 500 to which 15% by weight of precipitated calcium carbonate was added, and pH was adjusted to 7.8.

Deionized water was used for furnish preparation, and additional 80 ppm of sodium sulfate and 50 ppm of calcium chloride were added.

While mixing, a batch of 0.71% solids containing 10 g of cellulose fibers and calcium carbonate was treated with an ASA emulsion. After 60-sec contact time, an anionic retention aid was added and mixing continued for 15 sec. Three 2.8-g sheets of paper were formed using Standard (8″×8″) Nobel & Woods handsheet mold, to target basis weight of 50 Ib/Tappi Ream ,pressed between felts in the nip of a pneumatic roll press at about 15 psi and dried on the rotary dryer at 240° F. The dose of 3 lb/T of ASA and 1 lb/T of an anionic retention aid were applied.

Evaluation of Paper Sizing

The sizing of handsheets was tested using Bayer Ink Penetration test (BIP).

The BIP size testing method provides a fully automated application of ink to the under surface of the paper together with automatic measurement of the optical end point. This method uses the same principle as the TAPPI T 530 test but uses an instrument of our design, which provides an automated design and different geometry for light sources and detector. In particular, all steps of the BIP test were performed automatically with this apparatus. On the push of a start button, ink was pumped into a well until the ink contacted the under surface of the paper, determined electronically, and the timing of the ink penetration was obtained from a reflectance measurement and was displayed digitally. Neutral ink buffered to pH 7. 0 was used in all BIP testing and was prepared by dissolving 12. 5 g of naphthol green B dye in 500 mL of deionized water, and a pH 7 buffer solution was then added to bring the total volume to1000 mL at 23° C.

Handsheets were evaluated by the BIP test after a conditioning period of at least one day at 72 F and 50% relative humidity. Three handsheet specimens were tested, with two repetitions on each felt side, for a total of six tests.

To begin a BIP test, each paper specimen was inserted into the apparatus. A fiber optic source cable provided uniform illumination of the topside of the specimen.

A detector fiber optic cable viewed the same area of illumination. The initial reflectance of the specimen was determined automatically and stored for reference. The test ink was automatically metered by a metering pump from a reservoir into the bottom of a cone-shaped ink well until the ink contacted the underside of the paper specimen under test, at which time a timer was started electronically. The change in reflectance was periodically monitored automatically and the timer was stopped when a pre-specified percentage decrease in reflectance was reached. This decrease was about 20%, i. e., the specimen retained about 80% of its initial reflectance. The elapsed time of the test was displayed and recorded to the nearest second. Then a drain pump was started automatically and run for a period of time long enough to empty the ink in the well into a waste reservoir. The average test time for the three specimens on the felt side were calculated.

TABLE 1 ASA Emulsion Particle Size Distribution Percent of Size Under Median Particles Which ASA/ Particle Under 1 Are 90% of Particle Size Polymer Polymer Size micron Particles Distribution ID Ratio (microns) (%) (micron) Graph Example 1 1/0.1 0.631 72.6 1.771 Normal with shoulder Example 2 1/0.1 0.490 95.8 0.835 Normal

TABLE 2 Sizing Efficiency of ASA Emulsion ASA/Polymer Sizing (sec) Polymer ID Polymer Description Ratio 3 lb/T ASA Example 1 Low MW Copolymer 1/0.1 146 Example 2 Low MW Terpolymer 1/0.1 290

In Table 1 it is shown that ASA emulsion prepared with a polymer from Example 2 has smaller median particle size and narrower particle size distribution. In Table 2 it is shown that ASA emulsion prepared with polymer from Example 2 provides higher sizing than ASA emulsion prepared with a polymer from Example 1.

Example 4

A low molecular weight 90/10/5/4 mole % acrylamide/[2-(methylacryloyloxy)ethyl]trimethylammonium chloride/2-hydroxyethy methacrylate/acrylic acid (AMD/Q6/HEMA/AA) tetrapolymer was prepared by a free radical co-polymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 99.13 parts of 52.96% acrylamide solution, 25.28 parts of 75% Q6 solution, 6.11 parts of 97% HEMA solution, 2.66 parts of 99% acrylic acid solution, 5.0 parts of 4% sodium hypophosphite solution, and 10.32 parts of deionized water. The pH of this solution was equal to 2.12. The monomer solution was sparged with nitrogen for an hour before addition. The reactor vessel solution was prepared by mixing 242.7 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.69 to 4.53 with 0.28 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour prior to use. The initiator solution was prepared by addition of 0.96 parts of ammonium persulfate into 7.28 parts of deionized water. This solution was sparged with nitrogen for half an hour prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction.

The pH of final product was equal to 2.03, bulk viscosity was equal to 2310 cP (measured using Brookfield viscometer model DV-III, # 3 spindle, 12 rpm, at 25° C.) and viscosity of a 2% polymer solution was equal to 7.0 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.). Molecular weight of this polymer (Mw) is equal to 212,000 daltons.

Example 5

ASA emulsions were prepared with polymers from Examples 1, 2 and 4 at a 1/0.2 ASA/polymer ratio. Concentration of ASA during the emulsification was equal to 3.85 wt. %. ASA emulsions were prepared by the procedure described in Example 3 except that 0.8% polymer solution was used for emulsification. Handsheets were made and tested as it was described in Example 3.

TABLE 3 ASA Emulsion Particle Size Distribution Percent of Size Under Median Particles Which Are ASA/ Particle Under 1 90% of Particle Size Polymer Polymer Size micron Particles Distribution ID Ratio (microns) (%) (micron) Graph Example 1 1/0.2 0.589 73.0 2.062 Normal with (compara- shoulder tive) Example 2 1/0.2 0.509 86.0 1.210 Normal Example 4 1/0.2 0.550 81.2 1.032 Normal

TABLE 4 Sizing Efficiency of ASA Emulsion (Example 1, 2 and 3) ASA/Polymer Sizing (sec) Polymer ID Polymer Description Ratio 3 lb/T ASA Example 1 Low MW Copolymer 1/0.2 440 (comparative) Example 2 Low MW Terpolymer 1/0.2 560 Example 4 Low MW Tetrapolymer 1/0.2 495

In Table 3 it is shown that ASA emulsions prepared with a polymer from Example 2 and 4 have smaller median particle size and narrower particle size distribution than ASA emulsion prepared with a polymer from Example 1. Table 4 shows that ASA emulsified with polymers from Example 2 and 4 provides higher sizing than ASA emulsified with a polymer from Example 1.

Example 6

ASA emulsion is prepared with a polymer from Example 4 at an ASA/polymer ratio of 1/0.2 and 1/1. These emulsions were compared to ASA emulsions prepared with conventional cationic starch at ASA/starch ratios of 1/0.2 and 1/1.

Emulsions were prepared as described in Example 3, except that a 0.8 wt. % polymer or starch solution was used to make an emulsion at 1/0.2 ASA/emulsifier ratio, and a 4 wt % solution of polymer or starch was used to make an emulsion at 1/1 ASA/emulsifier ratio. Stability of emulsions was checked after 2 hrs.

Handsheets were made and tested as it was described in Example 3.

TABLE 5 ASA Emulsion Particle Size Distribution Percent of Median Particles Size Under Which Particle Size Emulsion ASA/Polymer Particle Size Under 1 micron Are 90% of Particles Distribution After Polymer ID Ratio (microns) (%) (micron) Graph 2 hr Example 4 1/0.2 0.599 81.2 1.363 Normal No change Example 4 1/1   0.55 89.5 1.032 Normal No change Starch 1/0.2 10.498 15.6 19.170 Bimodal Separated Starch 1/1   0.614 84.7 1.143 Normal Agglomerated

TABLE 6 Sizing Efficiency of ASA Emulsion (Example 3 and Starch) ASA/Polymer Sizing (sec) Polymer ID Ratio 3 lb/T ASA Example 4 1/0.2 495 Example 4 1/1   733 Starch 1/0.2 0 Starch 1/1   1005

At a 1/0.2 ASA/polymer ratio, ASA emulsion prepared with polymer from Example 4 has small median particle, narrow particle size distribution and is stable for at least two hours. This emulsion provides sizing of paper.

At the ratio of 1/0.2 ASA/starch, ASA emulsion has large median particle size, bimodal distribution and separates within 30 min. This emulsion doesn't provide sizing.

At the ratio of 1/1 of ASA/polymer and ASA/starch, ASA emulsions prepared with polymer and with starch have small median particle size and narrow particle size distribution, however ASA/starch emulsion is not useable after 2 hour, while ASA/polymer emulsion is not changed for at least two hours.

At 1/1 ratio, ASA emulsion prepared with starch outperforms emulsion prepared with polymer.

Example 7 (Comparative)

A high molecular weight 90/10 mole % acrylamide/ [2-(methylacryloyloxy)ethyl]trimethylammonium chloride copolymer (AMD/Q6) was prepared by a free radical co-polymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 45.62 parts of 52.96% acrylamide solution, 10.45 parts of 75% Q6 solution, and 56.30 parts of deionized water. The pH of the monomer solution was adjusted from 4.1 to 3.7 with 0.08 parts of 20% solution of malic acid. The monomer solution was sparged with nitrogen for an hour prior to addition. The reactor vessel solution was prepared by mixing 278.41 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.8 to 3.8 with 0.62 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour prior to addition.

The initiator solution was prepared by addition of 0.22 parts of ammonium persulfate into 8.03 parts of deionized water. This solution was sparged with nitrogen for half an hour prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction.

The pH of final product was equal to 3.05, bulk viscosity was equal to 2389 cP (measured using Brookfield viscometer model DV-III, # 3 spindle, 12 rpm, at 25° C.) and viscosity of a 2% polymer solution was equal to 62 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.). Molecular weight of this polymer (Mw) is equal to 1,000,000 daltons.

Example 8

A high molecular weight 90/10/5 mole % acrylamide/ [2-(methylacryloyloxy) ethyl]trimethylammonium chloride/2-hydroxyethy methacrylate (AMD/Q6/HEMA) terpolymer was prepared by a free radical copolymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 41.64 parts of 52.96% acrylamide solution, 10.11 parts of 75% Q6 solution, 2.44 parts of 97% HEMA solution, and 58.26 parts of deionized water. The pH of this solution was equal to 3.62. The monomer solution was sparged with nitrogen for an hour before addition. The reactor vessel solution was prepared by mixing 278.30 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.87 to 3.81 with 0.73 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour prior to use.

The initiator solution was prepared by addition of 0.26 parts of ammonium persulfate into 7.99 parts of deionized water. This solution was sparged with nitrogen for half an hour prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction.

The pH of final product was equal to 3.16, bulk viscosity was equal to 1400 cP (measured using Brookfield viscometer model DV-III, # 3 lo spindle, 12 rpm, at 25° C.) and viscosity of a 2% polymer solution was equal to 50 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.). Molecular weight of this polymer (Mw) is equal. to 1,050,000 daltons.

Example 9

ASA emulsions were prepared with polymers from Examples 7 and 8 at a 1/0.1 ASA/polymer ratio. Concentration of ASA during the emulsification was equal to 3.85 wt. %. ASA emulsions were prepared, and handsheets were made and tested as it was described in Example 3.

TABLE 7 ASA Emulsion Particle Size Distribution Median Percent of Size Under ASA/ Particle Particles Under Which Are 90% Polymer Size 1 micron of Particles Polymer ID Ratio (microns) (%) (micron) Example 7 1/0.1 1.192 43.4 2.913 (comparative) Example 8 1/0.1 0.773 59.8 2.412

TABLE 8 Sizing Efficiency of ASA Emulsion ASA/Polymer Sizing (sec) Polymer ID Polymer Description Ratio 3 lb/T ASA Example 7 High MW Copolymer 1/0.1 131 (comparative) Example 8 High MW Terpolymer 1/0.1 332

In Table 7 it is shown that an ASA emulsion prepared with the polymer from Example 8 has smaller median particle size than an emulsion prepared with the polymer from

Example 7. As it is shown in Table 8, sizing obtained with ASA emulsified Example 8 is significantly higher than sizing obtained with ASA emulsified with Example 7.

Example 10

A high molecular weight 90/10/5 mole % acrylamide/[2-(methylacryloyloxy)ethyl]trimethylammonium chloride/2,3-dihydroxypropyl methacrylate (AMD/Q6/DHPMA) terpolymer was prepared by a free radical co-polymerization. The polymerization process was carried out by simultaneous, continuous addition of ammonium persulfate and monomer solutions to a reaction vessel that contained deionized water and chelating agent buffered with malic acid. The monomer solution was prepared by mixing 40.93 parts of 52.96% acrylamide solution, 9.93 parts of 75% Q6 solution, 2.87 parts of 100% DHPMA, and 58.66 parts of deionized water. The pH of this solution was adjusted from 4.9 to 4.05 with 0.6 parts of 20 % malic acid solution. The monomer solution was sparged with nitrogen for an hour before addition. The reactor vessel solution was prepared by mixing 278.65 parts of deionized water and 0.27 parts of 40% pentasodium diethylenepentaacetate. The pH of the reactor vessel solution was adjusted from 10.15 to 3.80 with 0.38 parts of 20% malic acid solution. The latter solution was sparged with nitrogen for an hour prior to addition.

The initiator solution was prepared by addition of 0.26 parts of ammonium persulfate into 7.99 parts of deionized water. This solution was sparged with nitrogen for half an hour prior to use. The addition of monomer solution and ammonium persulfate solution to the reactor vessel was carried out over 2.25 hr and 2.5 hr, respectively. The polymerization reaction was performed at 65° C. The reaction solution was maintained under the nitrogen purge throughout the course of reaction. The pH of final product was equal to 3.16, bulk viscosity was equal to 920 cP (measured using Brookfield viscometer model DV-III, # 3 spindle, 12 rpm, at 25° C.), and viscosity of a 2% polymer solution was equal to 39 cP (measured using Brookfield viscometer model DV-III, # 2 spindle, 30 rpm, at 25° C.).

Example 11

ASA emulsions were prepared with polymers from Examples 7, 8 and 10 at a 1/0.1 ASA/polymer ratio. Concentration of ASA during the emulsification was equal to 7.4 wt. %. ASA emulsions were prepared as it was described in Example 3, except that 7.4 grams of ASA was added to 92.6 g of a 0.8 wt % polymer solution. Handsheets were made and tested as it was described in Example 3.

TABLE 9 ASA Emulsion Particle Size Distribution Percent of Size Under ASA Median Particles Which Are ASA/ Concen- Particle Under 1 90% of Polymer tration Size micron Particles Polymer ID Ratio (%) (microns) (%) (micron) Example 7 1/0.1 7.4 0.909 55 2.153 (comparative) Example 8 1/0.1 7.4 0.702 66.5 1.990 Example 10 1/0.1 7.4 0.714 65.7 1.942

TABLE 10 Sizing Efficiency of ASA Emulsion (Examples 4 and 5) ASA/Polymer Sizing (sec) Polymer ID Polymer Description Ratio 3 lb/T ASA Example 7 High MW Copolymer 1/0.1 206 (comparative) Example 8 High MW Terpolymer 1/0.1 349 Example 10 High MW Terpolymer 1/0.1 327

In Table 9 it is shown that ASA emulsions prepared with polymers from Example 8 and 10 have smaller median particle size than the emulsion prepared with the polymer from Example 7. As it is shown in Table 10, sizing obtained with ASA emulsified with polymers from Examples 8 and 10 is significantly higher than sizing obtained with ASA emulsified with the polymer from Example 7.

Although the present invention has been described in detail with reference to certain preferred versions thereof, other variations are possible. Therefore, the spirit and scope of the appended claims should not be limited to the description of the versions contained therein. 

1. A cationic polymer useful as a papermaking additive, which is obtained by copolymerizing (1) a vinyl monomer selected from the group consisting of the formula (I), formula (Ia), and combinations thereof, wherein formula (I) and formula (Ia) are as follows: CH₂═CR₁—COA(CH₂)nN⁺R_(s)R_(S)R₃X⁻  (I) (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group; and (3) a vinyl monomer selected from the group consisting of formula (III), (IIIa), and combinations thereof, wherein formula (III) and (IIIa) are as follows: CH₂═CR₅COO(CH₂)_(n)OH   (III) CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (III) wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1-4, inclusive and m is 1 or2.
 2. The polymer of claim 1, wherein the polymer has a cationic charge of at least 1 to 99 mole %.
 3. The polymer of claim 1, wherein the polymer comprises units derived from 2-hydroxyethyl methacrylate in an amount ranging from 1 to 30 mole percent.
 4. The polymer of claim 1, wherein the polymer has an average molecular weight ranging from 10,000 to 3,000,000 daltons.
 5. The polymer of claim 1, wherein the polymer is crosslinked or branched.
 6. An amphoteric polymer useful as a papermaking additive, which is obtained by copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group, and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1 or 4 and m is 1 or 2 ; and (4) an anionic vinyl monomer of the formula: CH₂═CR₇COOR₈   (IV) wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, or am ammonium group.
 7. Polymer of Claim 6, wherein the polymer has an anionic charge ranging from 0-40 mole percent.
 8. A method comprising (a) providing paper stock; (b) adding to the paper stock a composition comprising: (i) synthetic sizing agent, and (ii) a polymer including a cationic polymer useful as a paper additive, which is obtained by copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group, and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1-4, inclusive and m is 1 or 2; and (iii) water or starch solution, and (c) forming a web from said paper stock, wherein the web exhibits an improved sizing efficiency as compared to a web made without the cationic polymer.
 9. The method of Claim 8, wherein the polymer a cationic charge of at least 1 to 99 mole %.
 10. The method of Claim 8, wherein the polymer comprises 2-hydroxyethyl methacrylate in an amount ranging from 1 to 30 mole percent.
 11. The method of Claim 8, wherein the weight ratio of synthetic sizing agent:polymer is added in an amount ranging from 1:0.05 to 1:1.
 12. The method of Claim 8, wherein the synthetic sizing agent is emulsified.
 13. The method of Claim 8, wherein the synthetic sizing agent is selected from the group consisting of alkenyl succinic anhydride, alkyl ketene dimer, alkeno ketene dimers, alkyl isocyanates, alkyl anhydrides, and combinations thereof.
 14. The method of Claim 8, wherein the synthetic sizing agent is added in conjunction with the cationic polymer.
 15. The method of Claim 8, wherein the temperature is ranges from 20 C to 40 C.
 16. The method of Claim 8, wherein the synthetic sizing agent is added as an emulsion containing polymers or an emulsion containing polymers and starch.
 17. The method of Claim 8, wherein the sizing efficiency: resistance of water to paper is increased, as determined by the ink penetration test or the Cobb test
 18. The method of Claim 8, wherein the synthetic sizing agent added as a sizing emulsion containing surfactant and the emulsion is prepared under low shear conditions.
 19. The method of Claim 8, wherein the synthetic sizing agent is added as a sizing emulsion containing surfactant and the emulsion is prepared under high shear conditions.
 20. The method of Claim 8, wherein the sizing efficiency improvement ranges from 10 to 200 percent more, as compared to when the paper is prepared without the polymer.
 21. Paper made from the method of Claim 8, wherein the paper has a ink penetration ranging from 50 to 1500 seconds.
 22. Paper made from the method of Claim 8, wherein the paper has a cobb value ranging from 15 to 200 grams/m².
 23. The method of Claim 8, wherein the synthetic sizing agent is applied at a dosage ranging from 0.1 kg/metric ton to 10 kg/metric
 24. A method comprising: (a) providing paper stock; (b) adding to the paper stock a composition comprising: (i) a synthethic sizing agent, and (ii) an amphoteric polymer useful as a paper additive, which is obtained by copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group, and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group and n is 1 or 4 and m is 1 or 2; and (4) an anionic vinyl monomer of the formula: CH₂═CR₇COOR₈   (IV) wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, or an ammonium group; and (iii) water or starch solution, and (c) forming a web from said paper stock, wherein the web exhibits an improved sizing efficiency as compared to a web made without the amphoteric polymer.
 25. A method for making a cationic polymer useful as a paper additive wherein the method comprises copolymerizing (1) a vinyl monomer of the formula: CH₂═CR¹—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂Cl⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, and R₂ and R₃ are each a methyl group or an ethyl group; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group; and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH   (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1-4, inclusive, and m is 1 or
 2. 26. A method for malting an amphoteric polymer useful as a paper additive, wherein the method comprises copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(CH₃)₂Cl⁻(Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, and R₂ and R₃ are each a methyl group or an ethyl group; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group; and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1 or 4 and m is 1 or
 2. 27. A method comprising (a) providing paper stock; (b) forming a web from said paper stock, (c) adding to the web a composition comprising: (i) alkenyl succinic anhydride, and (ii) a cationic polymer useful as a paper additive which is obtained be copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N⁺R₂R₂R₃X⁻(I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group, and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)OH   (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1-4, inclusive and m is 2 or 3; and (iii) water or starch solution.
 28. A method comprising: (a) providing paper stock; (b) forming a web from said paper stock, (c) adding to the web a composition comprising: (i) alkenyl succinic anhydride, and (ii) an amphoteric polymer useful as a paper additive, which is obtained by copolymerizing (1) a vinyl monomer of the formula: CH₂═CR₁—COA(CH₂)_(n)N³⁰ R₂R₂R₃X⁻  (I) and/or (CH₂═CHCH₂)₂N⁺(R₂)₂X⁻  (Ia) wherein R₁ is a hydrogen atom or a methyl group, A is an oxygen atom or NH group, n is 2 or 3, R₂ and R₃ are each a methyl group or an ethyl group and X is a chlorine atom, a bromine atom, or X⁻ is a methyl sulfate ion; and (2) a vinyl monomer of the formula: CH₂═CR₄—CONH₂   (II) wherein R₄ is a hydrogen atom or a methyl group, and (3) a vinyl monomer of the formula: CH₂═CR₅COO(CH₂)_(n)OH   (III) and/or CH₂═CR₆COO(CH₂)_(m)CHOHCH₂OH (IIIa) wherein R₅ and R₆ is a hydrogen atom or a methyl group, n is 1 or 4 and m is or 2; (4) an anionic vinyl monomer of the formula: CH₂═CR₇COOR₈   (IV) wherein R₇ is a hydrogen atom or a methyl group, and R₈ is a hydrogen atom, an alkali metal, ammonium group; and (iii) water or starch solution.
 29. The process of Claim 28, wherein the paper is further treated with polymers selected from the group consisting of anionic polymers, nonionic polymers, and combinations thereof. 